Category Theory for Software Diagnostics, Observability, and Debugging: Applied Category Theory for Runtime Evidence, Invariants, and Root-Cause Analysis - Couverture souple

Couverture souple

ISBN 10 : 1919135014 ISBN 13 : 9781919135014

Editeur : Opentask, 2026

Synopsis

This book is AI-synthesized from our published work, including bits and pieces of CT applied to software diagnostics and debugging from 10-15 years ago.

Software diagnostics usually involves analyzing and transforming several execution artifacts. We filter and join logs, reconstruct call stacks from memory dumps, compare traces, and combine observations from different tools. Such operations preserve some information and may discard relationships needed for diagnosis.

In this book, we develop an Applied Category Theory approach to software diagnostics, observability, and debugging. We consider software behavior, execution artifacts, analysis patterns, and diagnostic hypotheses as related structures. Categories, functors, natural transformations, presheaves, and sheaves help us describe these relationships and specify what should be preserved. For example, two different analysis paths may be expected to produce the same result. A discrepancy then becomes a diagnostic indicator that requires further investigation.

The book develops our earlier work on pattern-oriented software diagnostics, Software Codiagnostics, and trace and log analysis patterns. We introduce the Categorical Invariant Violation analysis pattern and connect categorical constructions to practical checks for distributed systems, memory analysis, observability drift, and agentic AI workflows. Worked examples include the analysis of a real HTTP log artifact. We also consider diagnostic applications of toposes and explain the relationship between established mathematics and our proposed constructions.

Separate appendices introduce the mathematical prerequisites and category theory, assuming only school mathematics, and review established categorical applications.

The book includes references, a glossary, and an index, and is intended for software developers, support engineers, SREs, software diagnosticians, and researchers.

A propos du livre

À propos de l'auteur

Dmitry Vostokov is an internationally recognized expert, speaker, educator, scientist, inventor, and author. He founded the pattern-oriented software diagnostics, forensics, and prognostics discipline (Systematic Software Diagnostics) and Software Diagnostics and Observability Institute (DA+TA: DumpAnalysis.org + TraceAnalysis.org). Vostokov has also authored over 50 books on software diagnostics, anomaly detection and analysis, software and memory forensics, root cause analysis and problem solving, memory dump analysis, debugging, software trace and log analysis, reverse engineering, and malware analysis. He has over 30 years of experience in software architecture, design, development, and maintenance in various industries, including leadership, technical, and people management roles. Dmitry founded OpenTask Iterative and Incremental Publishing (OpenTask.com) and Software Diagnostics Technology and Services (former Memory Dump Analysis Services) PatternDiagnostics.com. In his spare time, he explores Software Narratology, Software Pathology, Software Morphology, Quantum Software Diagnostics, and Pattern-Oriented AI. His interest areas are theoretical software diagnostics and its mathematical and computer science foundations, application of formal logic, semiotics, artificial intelligence, machine learning, and data mining to diagnostics and anomaly detection, software diagnostics engineering and diagnostics-driven development, diagnostics workflow and interaction. Recent interest areas also include functional programming, cloud native computing, monitoring, observability, visualization, security, automation, applications of category theory to software diagnostics, development and big data, and diagnostics of artificial intelligence.

Détails de l'édition

• Éditeur: Opentask
• Date d'édition: 2026
• Langue: anglais
• ISBN 10: 1919135014
• ISBN 13: 9781919135014
• Reliure: Tapa blanda
• Nombre de pages: 160
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible